The value of a for which may have one root less than a and…

Maths Quadratic Equations Mix Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

The value of a for which may have one root less than a and another root greater than a are given by

Text Solution

Verified by Experts

The correct answer is:

The given condition suggest that a lies between the roots. Let

For ‘a’ to lie between the roots we must have Discriminant ≥ ≥ 0 and

Now, Discriminant ≥ ≥ 0

⇒ ⇒ which is

always true.

Also ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒ ⇒ or

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